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Full-waveform inversion (FWI) is today a standard process for the inverse problem of seismic imaging. PDE-constrained optimization is used to determine unknown parameters in a wave equation that represent geophysical properties. The…

Numerical Analysis · Mathematics 2021-04-02 Bjorn Engquist , Yunan Yang

Accurately characterizing migration velocity models is crucial for a wide range of geophysical applications, from hydrocarbon exploration to monitoring of CO2 sequestration projects. Traditional velocity model building methods such as…

Machine Learning · Computer Science 2024-11-15 Rafael Orozco , Huseyin Tuna Erdinc , Yunlin Zeng , Mathias Louboutin , Felix J. Herrmann

We present a semi-amortized variational inference framework designed for computationally feasible uncertainty quantification in 2D full-waveform inversion to explore the multimodal posterior distribution without dimensionality reduction.…

Geophysics · Physics 2024-12-06 Ziyi Yin , Rafael Orozco , Felix J. Herrmann

Iterative inversion of seismic, ultrasonic, and other wave data by local gradient-based optimization of mean-square data prediction error (Full Waveform Inversion or FWI) can fail to converge to useful model estimates if started from an…

Optimization and Control · Mathematics 2024-12-10 William W. Symes , Huiyi Chen , Susan E. Minkoff

Full Waveform Inversion (FWI) is a promising technique for achieving high-resolution imaging in medical ultrasound. However, conventional FWI methods suffer from issues related to computational efficiency, dependence on initial models, and…

Medical Physics · Physics 2025-10-15 Qiang Li , Heyu Ma , Chengcheng Liu , Dean Ta

Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse problem for a second order wave equation or a first order…

Numerical Analysis · Mathematics 2025-05-15 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Seismic full-waveform inversion is a core technology for obtaining high-resolution subsurface model parameters. However, its highly nonlinear characteristics and strong dependence on the initial model often lead to the inversion process…

Machine Learning · Computer Science 2026-03-25 Caiyun Liu , Siyang Pei , Qingfeng Yu , Jie Xiong

Machine learning and neural network models in particular have been improving the state of the art performance on many artificial intelligence related tasks. Neural network models are typically implemented using frameworks that perform…

Machine Learning · Computer Science 2021-10-18 Davan Harrison

In our paper [SIAM J.\ Appl.~Math.\ 79-6 (2019), https://doi.org/10.1137/19M1269403] we considered full waveform inversion (FWI) in the viscoelastic regime. FWI entails the nonlinear inverse problem of recovering parameter functions of the…

Analysis of PDEs · Mathematics 2022-03-03 Andreas Kirsch , Andreas Rieder

The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploration, the observed data usually consist of measurements of the…

Conventional Full Waveform Inversion requires calculating the objective function to be minimized and construction a gradient using the whole property model, when is often the case where geoscientist are only interested in a local region. In…

Geophysics · Physics 2020-05-22 Fernanda Farias , Reynam Pestana

Fibre orientation distribution (FOD) reconstruction using deep learning has the potential to produce accurate FODs from a reduced number of diffusion-weighted images (DWIs), decreasing total imaging time. Diffusion acquisition invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 J Bartlett , C E Davey , L A Johnston , J Duan

Fast-Fourier Transform (FFT) methods have been widely used in solid mechanics to address complex homogenization problems. However, current FFT-based methods face challenges that limit their applicability to intricate material models or…

Materials Science · Physics 2024-10-15 Mohit Pundir , David S. Kammer

Conventional frequency-domain full-waveform inversion (FWI) is typically implemented with an $L^2$ misfit function, which suffers from challenges such as cycle skipping and sensitivity to noise. While the Wasserstein metric has proven…

Optimization and Control · Mathematics 2025-10-10 Zhijun Zeng , Matej Neumann , Yunan Yang

Digital image watermarking has advanced rapidly for copyright protection of generative AI, yet the comparatively limited progress in watermark attack techniques has broken the attack-defense balance and hindered further advances in the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Chunpeng Wang , Binyan Qu , Xiaoyu Wang , Zhiqiu Xia , Shanshan Zhang , Yunan Liu , Qi Li

This work presents, to the best of the authors' knowledge, the first generalizable and fully data-driven adaptive framework designed to stabilize deep learning (DL) autoregressive forecasting models over long time horizons, with the goal of…

Fluid Dynamics · Physics 2025-05-06 Rodrigo Abadía-Heredia , Manuel Lopez-Martin , Soledad Le Clainche

Traditional seismic processing workflows (SPW) are expensive, requiring over a year of human and computational effort. Deep learning (DL) based data-driven seismic workflows (DSPW) hold the potential to reduce these timelines to a few…

Machine Learning · Computer Science 2021-03-01 Zhaozhuo Xu , Aditya Desai , Menal Gupta , Anu Chandran , Antoine Vial-Aussavy , Anshumali Shrivastava

Seawater intrusion (SWI) is a complex process, where 3D modeling is often necessary in order to monitor and manage the affected aquifers. Here, we present a synthetic study to test a joint hydrogeophysical inversion approach aimed at…

Geophysics · Physics 2016-08-05 K. Steklova , E. Haber

With the rapid rise of large models, copyright protection for generated image content has become a critical security challenge. Although deep learning watermarking techniques offer an effective solution for digital image copyright…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Shaowu Wu , Liting Zeng , Wei Lu , Xiangyang Luo

We demonstrate a practical differentiable programming approach for acoustic inverse problems through two applications: admittance estimation and shape optimization for resonance damping. First, we show that JAX-FEM's automatic…

Machine Learning · Computer Science 2025-11-17 Nikolas Borrel-Jensen , Josiah Bjorgaard
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